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" IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Página 57
por Euclides - 1874
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 páginas
...of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of...
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National Society's Monthly Paper

1855 - 264 páginas
...of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 páginas
...third angle of the one to the third angle of the other. 6. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. 7. If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 páginas
...two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 páginas
...interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 páginas
...DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and...
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 páginas
...PROPOSITION XXVII. THEOEEM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...triangle are equal to two right angles. Let ABC be any plane triangle, and let the side BC be produced 10 D ; then will the exterior angle ACD be equal...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 páginas
...of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. At what angles are the sides of a regular duodecagon inclined to...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 páginas
...triangle is opposite to the greater angle. The 32nd, Book I. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volumen3

1858 - 398 páginas
...triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition....
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